Greatest Common Factor of 8316 and 8323

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 8316, 8323 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8316 and 8323 is 7.

GCF(8316,8323) = 7

GCF of 8316 and 8323

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 8316 and 8323

GCF of 8316 and 8323 is 7

Prime Factorization of 8316


2 8316
2 4158
3 2079
3 693
3 231
7 77
11 11
1

Prime factors of 8316 are 2,3,7,11. Prime factorization of 8316 in exponential form is:

8316 = 22×33×71×111

Prime Factorization of 8323


7 8323
29 1189
41 41
1

Prime factors of 8323 are 7,29,41. Prime factorization of 8323 in exponential form is:

8323 = 71×291×411

∴ So by taking common prime factors GCF of 8316 and 8323 is 7

Greatest Common Factor of 8316 and 8323 by matching factors method

Factors of 8316

List of positive integer factors of 8316 that divides 8316 without a remainder.

1,2,3,4,6,7,9,11,12,14,18,21,22,27,28,33,36,42,44,54,63,66,77,84,99,108,126,132,154,189,198,231,252,297,308,378,396,462,594,693,756,924,1188,1386,2079,2772,4158,8316

Factors of 8323

List of positive integer factors of 8323 that divides 8323 without a remainder.

1,7,29,41,203,287,1189,8323

Greatest Common Factor

We found the factors and prime factorization of 8316 and 8323. The biggest common factor number is the GCF number.
So the greatest common factor 8316 and 8323 is 7.

Also check out the Least Common Multiple of 8316 and 8323

Properties of GCF 8316 and 8323

(i) The GCF of 8316 and 8323 is associative

GCF of 8316 and 8323 = GCF of 8323 and 8316

Related Greatest Common Factor of 8316

Related Greatest Common Factor of 8323

Frequently Asked Questions on GCF of 8316 and 8323

1. What is the GCF of 8316 and 8323?

Answer: GCF of 8316 and 8323 is 7.

2. What are the Factors of 8316?

Answer: Factors of 8316 are 1, 2, 3, 4, 6, 7, 9, 11, 12, 14, 18, 21, 22, 27, 28, 33, 36, 42, 44, 54, 63, 66, 77, 84, 99, 108, 126, 132, 154, 189, 198, 231, 252, 297, 308, 378, 396, 462, 594, 693, 756, 924, 1188, 1386, 2079, 2772, 4158, 8316. There are 48 integers that are factors of 8316. The greatest factor of 8316 is 8316.

3. What are the Factors of 8323?

Answer: Factors of 8323 are 1, 7, 29, 41, 203, 287, 1189, 8323. There are 8 integers that are factors of 8323. The greatest factor of 8323 is 8323.

4. How to Find the GCF of 8316 and 8323?

Answer:

Greatest Common Factor of 8316 and 8323 = 7

Step 1: Find the prime factorization of 8316

8316 = 2 x 2 x 3 x 3 x 3 x 7 x 11

Step 2: Find the prime factorization of 8323

8323 = 7 x 29 x 41

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 7

Step 4: Therefore, the greatest common factor of 8316 and 8323 is 7